Answer:
C
Step-by-step explanation:
12 divided by 3 is 4 and 30 divided by 3 is 10
(4u+3) (u-1) is the answer
A campsite is in the shape of a rectangle. The green region represents campsites with shade. The yellow region represents campsites without shade. The probability that your campsite has shade 1/2.
<h3>What is the probability?</h3>
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
A campsite is in the shape of a rectangle.
The green region represents campsites with shade.
The yellow region represents campsites without shade.
There are only two possibilities either shaded or not shaded So, the total number of outcomes would be 2.
The probability that your campsite has shade = 1/2
Learn more about probability here;
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Answer:
The club should charge $211 to optimize the revenue.
Step-by-step explanation:
Hi there!
The current revenue of the health club is calculated by multiplying the number of clients by the membership due value.
If y = revenue, then:
y = 1900 · 42
So, if the memberiship dues increase by $1, 5 clients will be lost. Then, if the dues increase by a value of x, then the number of lost clients will be 5x. If such an increase is applied, the revenue will be:
y = (1900 - 5x) (42 + x)
Apply distributive property:
y = 79800 + 1900x - 210x - 5x²
y = -5x² + 1690x + 79800
The function is a negative parabola, then, its maximum will be the vertex of the parabola that can be calculated using the following formula:
x = -b/2a
Where:
b = 1690
a = -5
Then:
x = -1690/(2 · -5)
x = 169
The club should charge 169 + 42 = $211 to optimize the revenue.